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Finding the Fourth Proportional to 5,698.80, 8,533.62 and 5,047.56

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Solution

The fourth proportional to 5,698.80, 8,533.62 and 5,047.56 is: 7,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.80 : 8,533.62 = 5,047.56 : x
  2. Step 2: Convert to fraction form
    5,698.80/8,533.62 = 5,047.56/x
  3. Step 3: Cross multiply
    5,698.80x = 8,533.62 × 5,047.56
  4. Step 4: Simplify right side
    5,698.80x = 43,073,958.97
  5. Step 5: Solve for x
    x = 43,073,958.97/5,698.80
  6. Step 6: Final answer
    x = 7,558.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.